Answered: Referring to Exhibit 1, what is the… | bartleby

Practical Management Science

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 41P

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Related questions

Question

Referring to Exhibit 1, what is the optimal objective function value for this problem?
500
O 300
800
O It cannot be determined from the given information.

A
D
E
H
5.
6 Variable Cells
7
Cell Name
Final
Reduced Objective Allowable Allowable
Value
Cost
Coefficient
Increase
$B$14 Gallons Produced Product A
$C$14 Gallons Produced Product B
9.
Decrease
250
10
1E + 30
100
3
1E + 30
11
12 Constraints
13
Final
Shadow Constraint Allowable Allowable
14
Cell
Name
Value
Price
R.H. Side
Increase
Decrease
15
$B$19 Product A Provided
250
125
125
1E + 30
16
$B$20 Total Production Provided
$B$23 Processing Time Hours Used
350
4
350
125
50
17
600
600
100
125
18

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If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.
This problem is based on Motorolas online method for choosing suppliers. Suppose Motorola solicits bids from five suppliers for eight products. The list price for each product and the quantity of each product that Motorola needs to purchase during the next year are listed in the file P06_93.xlsx. Each supplier has submitted the percentage discount it will offer on each product. These percentages are also listed in the file. For example, supplier 1 offers a 7% discount on product 1 and a 30% discount on product 2. The following considerations also apply: There is an administrative cost of 5000 associated with setting up a suppliers account. For example, if Motorola uses three suppliers, it incurs an administrative cost of 15,000. To ensure reliability, no supplier can supply more than 80% of Motorolas demand for any product. A supplier must supply an integer amount of each product it supplies. Develop a linear integer model to help Motorola minimize the sum of its purchase and administrative costs.

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